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微分方程非线性边值问题的单调迭代方法 被引量:1

Monotone Iterative Method for Differential Equations with Nonlinear Boundary Value Conditions
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摘要 讨论了一类微分方程的非线性边值问题,通过引入两个单调函数和的形式,并借助耦合上下解的方法给出了一类微分方程边值问题的广义单调迭代方法. In this paper we show that the method of generalized monotone iterative for differential equations with nonlinear boundary value cpnditions by employing the form of the sum of two monotone functions and coupled lower and upper solutions.
出处 《数学的实践与认识》 CSCD 北大核心 2012年第10期244-250,共7页 Mathematics in Practice and Theory
基金 保定学院科研基金(2009004)
关键词 上下解 单调迭代 非线性边值问题 Lower and upper solutions Monotone iterative Nonlinear boundary value conditions
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参考文献6

  • 1Ladde G S,Lakshmikantham V and Vatsala A S.Montone iterative for nonlinear differential equations [J].Pitman,Boston,1985.
  • 2Peiguang Wang,Shuhuan Tian and Yonghong Wu.Monotone iterative method for first-order functional difference equations with nonlinear boundary value conditions[J].Applied Mathematics and Computation,2008(203):266-272.
  • 3Cabadea A,Otero-Espinar V and Pouso R L.Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions[J].Computer Math Appl,2000(39):21-33.
  • 4Liz E,Nieto J J.Periodic boundary value problems for a class of functional differential equations[J]. Journal of Math Ana Appl,1996(200):680-686.
  • 5West I H,Vatsala A S.Generalized monotone iterative method for initial value problems[J].Appl Math Lett,2004(17):1231-1237.
  • 6傅湧.有界闭区间上连续函数列一致收敛的充要条件[J].大学数学,2007,23(3):117-120. 被引量:6

二级参考文献1

  • 1Klambauer G.数学分析[M].孙本旺,译.长沙:湖南人民出版社,1981.

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